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Finding the Fourth Proportional to 646.82, 970.16 and 281.37

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Solution

The fourth proportional to 646.82, 970.16 and 281.37 is: 422.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.82 : 970.16 = 281.37 : x
  2. Step 2: Convert to fraction form
    646.82/970.16 = 281.37/x
  3. Step 3: Cross multiply
    646.82x = 970.16 × 281.37
  4. Step 4: Simplify right side
    646.82x = 272,972.51
  5. Step 5: Solve for x
    x = 272,972.51/646.82
  6. Step 6: Final answer
    x = 422.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.